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13830107680 = 25586438173
BaseRepresentation
bin11001110000101011…
…01011001000100000
31022200211210021010101
430320111223020200
5211311001421210
610204203112144
7666502655434
oct147025531040
938624707111
1013830107680
11595780a664
12281b812654
1313c536688c
14952ad09c4
1555e274a3a
hex33856b220

13830107680 has 24 divisors (see below), whose sum is σ = 32673629772. Its totient is φ = 5532043008.

The previous prime is 13830107663. The next prime is 13830107747. The reversal of 13830107680 is 8670103831.

It can be written as a sum of positive squares in 2 ways, for example, as 13112082064 + 718025616 = 114508^2 + 26796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43218927 + ... + 43219246.

Almost surely, 213830107680 is an apocalyptic number.

13830107680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13830107680 is an abundant number, since it is smaller than the sum of its proper divisors (18843522092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13830107680 is an equidigital number, since it uses as much as digits as its factorization.

13830107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86438188 (or 86438180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 13830107680 in words is "thirteen billion, eight hundred thirty million, one hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 86438173 172876346 345752692 432190865 691505384 864381730 1383010768 1728763460 2766021536 3457526920 6915053840 13830107680